The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  1  2  1  2  4  0  1  2  2  4  2  4  0
 0  4  0  4  0  4  0  4  0  4  4  0  4  4  0  4  4  0  4  0  0  0  4  4

generates a code of length 24 over Z8 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+10x^25+2x^26+2x^27+1x^28

The gray image is a code over GF(2) with n=96, k=4 and d=50.
This code was found by Heurico 1.16 in 0.00281 seconds.